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152342433012 = 2237112237379113
BaseRepresentation
bin1000110111100001010…
…0010000110011110100
3112120020000011102212210
42031320110100303310
54443444130324022
6153552443013420
714002121213010
oct2157024206364
9476200142783
10152342433012
1159676371800
122563720a270
131149a9606b3
147532907540
153e69583a0c
hex2378510cf4

152342433012 has 576 divisors, whose sum is σ = 482544599040. Its totient is φ = 36531855360.

The previous prime is 152342432999. The next prime is 152342433031. The reversal of 152342433012 is 210334243251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1348163068 + ... + 1348163180.

It is an arithmetic number, because the mean of its divisors is an integer number (837751040).

Almost surely, 2152342433012 is an apocalyptic number.

152342433012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152342433012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241272299520).

152342433012 is an abundant number, since it is smaller than the sum of its proper divisors (330202166028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152342433012 is a wasteful number, since it uses less digits than its factorization.

152342433012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 152342433012 its reverse (210334243251), we get a palindrome (362676676263).

The spelling of 152342433012 in words is "one hundred fifty-two billion, three hundred forty-two million, four hundred thirty-three thousand, twelve".